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Finding the Fourth Proportional to 9,444.32, 14,141.76 and 6,975.68

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Solution

The fourth proportional to 9,444.32, 14,141.76 and 6,975.68 is: 10,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.32 : 14,141.76 = 6,975.68 : x
  2. Step 2: Convert to fraction form
    9,444.32/14,141.76 = 6,975.68/x
  3. Step 3: Cross multiply
    9,444.32x = 14,141.76 × 6,975.68
  4. Step 4: Simplify right side
    9,444.32x = 98,648,392.40
  5. Step 5: Solve for x
    x = 98,648,392.40/9,444.32
  6. Step 6: Final answer
    x = 10,445.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.